Calculation Method of Non-Linear Stiffness Matrix in Spline Finite Element Method

(整期优先)网络出版时间:2016-01-11
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AccordingtotheanalyticalcharacteristicsofcubicBsplinefunction,suchascompactnessanddiscontinuoussmoothness,twomethods,GlobalintegralmethodandAssemblingmethodareproposedtocalculatethenon-linearstiffnessmatrixinthesplinefiniteelementmethod.TheGlobalintegralmethodtransformstheintegraloftheproductofsplinefunctionsintothesumofboundarydataoftheproductbyintegralbyparts.TheAssemblingmethodusesthecompactnesscharacteristicsofthesplinefunction,reducesthen+3orderstiffnessmatrixinunitintervaltothe4ordermatrix,andthenobtainstheglobalmatrixbyassemblingthesmallones.Thetwoproposedmethodsareclearintheoryandeasytoberealizedbycomputerprogram,whichcaneffectivelyimprovetheefficiencyofthealgorithmfornonlinearsplineelementmethod.